156 citations · 758 across the 46 of their papers we have counts for
57 papers
On Berry Esseen type estimates for randomized Martingales in the non stationary setting
J Dedecker, F Merlevède, M Peligrad +1
In this paper, we consider partial sums of triangular martingale differences weighted by random variables drawn uniformly on the sphere, and globally independent of the martingale…
Rates in the central limit theorem for random projections of Martingales
J Dedecker, F Merlevède, M Peligrad
In this paper, we consider partial sums of martingale differences weighted by random variables drawn uniformly on the sphere, and globally independent of the martingale differences…
Convergence of series of conditional expectations
Magda Peligrad, Costel Peligrad
This paper deals with rates of convergence in the strong law of large numbers, in the Baum-Katz form, for partial sums of Banach space valued random variables. The results are then…
Berry-Esseen type bounds for the Left Random Walk on GL d (R) under polynomial moment conditions
C Cuny, J Dedecker, F Merlevède +1
Let , where is a sequence of independent random matrices taking values in , , with…
On the quenched CLT for stationary Markov chains
Magda Peligrad
In this paper we give sufficient conditions for the almost sure central limit theorem started at a point, known under the name of quenched central limit theorem. This is achieved b…
On the CLT for stationary Markov chains with trivial tail sigma field
Magda Peligrad
In this paper we consider stationary Markov chains with trivial two-sided tail sigma field, and prove that additive functionals satisfy the central limit theorem provided the varia…